Cosmic ray and neutrino tests of special relativity

Glashow, Sheldon L.

doi:10.1016/s0920-5632(99)00435-1

Cited by 5 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the most stringent experimental tests of Lorentz invariance, the Hughes-Drever tests, m l ∼ 1 MeV ( p) and we see from (6) that Lorentz invariance violating effects are consistent with the experimental limits for k = 0 and l = 1. We mention that these conclusions are also consistent (for k = 1 in this instance) with the recently discussed bounds for δ that can be obtained from highly energetic cosmic rays (E ∼ 10 20 eV) and from neutrino oscillations [57]. We also point out that as far as violation of the CPT symmetry is concerned, the relevant condition when comparing with experimental evidence is k + l > 1 [14].…”

supporting

confidence: 89%

Lorentz invariance and the cosmological constant

Bertolami¹

1997

Class. Quantum Grav.

View full text Add to dashboard Cite

Non-trivial solutions in string field theory may lead to the spontaneous breaking of Lorentz invariance and to new tensor-matter interactions. It is argued that requiring the contribution of the vacuum expectation values of Lorentz tensors to account for the vacuum energy up to the level that Ω Λ 0 = 0.5 implies the new interactions range is λ ∼ 10 −4 m. These conjectured violations of the Lorentz symmetry are consistent with the most stringent experimental limits.

show abstract

supporting

confidence: 89%

Lorentz invariance and the cosmological constant

Bertolami¹

1997

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…A comparison of the expressions ( 6)- (7) in Subsections B and C with the neutrino data of the 1990s showed that Lorentz non-invariant terms are found to be too small and do not significantly affect the interpretation of the available NO results (except for CPT-odd effects at very long baselines). At the same time, further investigation of oscillations of solar neutrinos and accelerator neutrinos at E ∼ TeV and baseline L ∼ 10 3 km may detect LI violation when ∆c ∼ 10 −25 [145,148]. A recent analysis in Ref.…”

Section: E Perturbative Violation Of Lorentz Invariance and Cptmentioning

confidence: 90%

“…Similarly to the approach in [127], outlined in Subsection B, Coleman and Glashow [145] developed the general formalism for introducing CPT and/or Lorentz non-invariant perturbative terms into the theory. The authors aimed at a concrete problem of testing special relativity in highly relativistic cosmic rays and NO [146]- [148] (see also [149]). Provided that the rotation invariance holds in a preferred reference frame (e.g., when one considers the rest frame of the cosmic background radiation) the renormalizable and gauge-invariant CPT-even LI-violating additional term in the Standard Model lagrangian results in the emergence of maximum attainable velocities (MAV) of particles which can be not equal to photon velocity c γ .…”

Section: Perturbation-theory Formalism For Violation Of Lorentz Invar...mentioning

confidence: 99%

“…It is found that this assumption is sufficient [145,146] for oscillations to appear even with massless neutrinos 17 that are typically described in terms of the differences ∆c ν ≡ c ν i − c ν j and angles of the corresponding mixing matrix for MAV eigenstates. In the most general form, the neutrino eigenstates are characterized in the ultrarelativistic case with given momentum p by the following sum of three hermitian 3×3-matrices [145,148]:…”

Section: Perturbation-theory Formalism For Violation Of Lorentz Invar...mentioning

confidence: 99%

See 1 more Smart Citation

CPT invariance and neutrino physics

Tsukerman

2010

Preprint

View full text Add to dashboard Cite

CPT invariance in neutrino physics has attracted attention after the revival of the hypothetical idea that neutrino and antineutrino might have nonequal masses (m ν = m ν ) when realizing neutrino oscillations as a new sensitive phenomenon to search for the violation of this fundamental symmetry. Moreover, the profound relation between the CPT and Lorentz symmetries turns the studies of CPT and Lorentz invariance violations into the one two-sided problem. We present a guide for non-experts through the literature on neutrino physics. The basic works are reviewed thoroughly while for the other papers only current results or discussion issues are quoted. The review covers, mostly, oscillations of neutrinos, resonant change of their flavors and cosmic neutrino physics to systematize possible evidences of CPT/Lorentz violation in this sector of the Standard Model. ContentsIntroduction 1. The CPT theorem (quotations) 2. Theoretical and experimental status of the CPT 3. General consequences of hypothetical CPT and Lorentz invariance violation in neutrino physics A. CPT and neutrino physics B. Extension of the Standard Model: spontaneous violation of Lorentz invariance and СPТ C. Perturbation-theory formalism for violation of Lorentz invariance, CPT and equivalence principle D. 'Non-standard' violating mechanisms (quantum decoherence, modified dispersion relations) 4. Experimental and observational consequences of CPT and Lorentz invariance violation in neutrino physics E. Perturbative violation of Lorentz invariance and CPT F. Violation of Lorentz invariance and equivalence principle in terrestrial and cosmic neutrino physics G. Manifestations of Lorentz invariance and CPT with 'non-standard' mechanisms in neutrino physics 5. Interpretations of neutrino oscillations based on CPT violation H. False CPT-odd effects in matter I. Neutrino oscillations due to violation of Lorentz invariance J. CPT non-invariant 'ether', quantum decoherence, and LSND anomaly K. Antineutrino vs neutrino oscillation parameters; LSND-anomaly models with m ν = m ν Conclusion References 0 The early version of this article has been published in the Russian journal Uspekhi Fizicheskikh Nauk : U F N , 175, 863 (2005). Although the English translation in Physics-Uspekhi, 48, 825 (2005) was performed by nonexperts, the author has not got possibility to check up proofs carefully because of strict time schedule imposed by the editorial board. Now we present a revised and updated article in English.21 However as it is mentioned, Hawking has stated in his talk at the GR17 (17th Intern. Conf. on General Relativity and Gravitation, Dublin, July 2004) that information is not lost during formation and evaporation of black holes because in all likelihood the true (not the apparent) horizon is never formed. Hawking's claims are discussed in the literature -by the author of [20,21] also within the reference number six in his invited talk of Ref.[108] and, in details, in one of his recent theoretical works (see Section I of Ref. [161]) as well as in Hawking's pape...

show abstract

Neutrino oscillations and the CPT

Tsukerman

2005

Phys.-Usp.

View full text Add to dashboard Cite

We wnsider the generation of entropy when particle pairs are created at a wsmdogical level h&king a reduction via the panicle number basis, we compute the classical limit for the entropy generarion due to the evolution of the matter field fluctuations (squeeze kansfmmation). obtaining that it is linear in the squeeze parameter for a gened class of initial states. We also discuss t h e dependence of the generated entropy on the wane graining criterion. PACS number: 9880

show abstract

Cosmic ray and neutrino tests of special relativity

Cited by 5 publications

References 18 publications

Lorentz invariance and the cosmological constant

Lorentz invariance and the cosmological constant

CPT invariance and neutrino physics

Neutrino oscillations and the CPT

Contact Info

Product

Resources

About